TCAP MATH PLAYBOOK 7th Grade

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TCAP MATH PLAYBOOK 7th Grade
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Notes about TCAP

• TCAP is the state mandated test. It will cover
  all subjects and will be multiple choice. It
  will be given April 23-26. TCAP will count 25 of
  your second semester average. The grades will be
  shown on your final report card.

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Helpful Tips

• Get a good night sleep and eat a healthy
  breakfast. Your brain works better when it is
  well rested.
• Take your time and completely read each question.
  Make sure you know exactly what the question is
  asking dont just assume!
• Highlight/ underline important parts in the
  question.
• Work out the problems. You can write in the
  book- so do it!
• DO YOUR BEST AND ROCK THE TEST!

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Day 1 Bell Work

• 1) A jar contains 7 green, 19 black, and 13 pink
  marbles. A marble is drawn at random. P(not
  pink).
• 2) You flip a coin and toss a 1-6 number
  cube. P(heads and 2)

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Day 2 Bell Work

• The heights, in inches, of the five starting
  players on a baseketball team are listed below.
• 73, 79, 76, 74, 73
• What is the mean of this data set?
• F 73 inches G 74 inches
• H 75 inches J 76 inches

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Day 3 Bell Work

• Hectors art teacher is giving prizes to the 10
  students who worked on a mural for the school.
  The teacher will write the name of one prize on
  each of 10 slips of paper, as shown below.
• - She will write set of markers on 4 slips of
  paper
• - She will write set of colored pencils on 3
  slips of paper
• - She will write drawing paper on 2 slips of
  paper
• - She will write set of watercolor paints on 1
  slip of paper
• The teacher will then randomly select one of the
  slips of paper, and Hector will win the prize
  that is written on the slip of paper. What is
  the probability that Hector will win a set of
  markers or a set of colored pencils?
• A 1/5 B 3/7
• C 1/2 D 7/10

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Day 4 Bell Work

• A small rectangular prism is 4 inches long. A
  large rectangular prism is 24 inches long. These
  two prisms are similar. Which statement is true?
• a. The volume of the large rectangular prism is 6
  times the volume of the small one.
• b. The volume of the large rectangular prism is
  20 times the volume of the small one.
• c. The volume of the large rectangular prism is
  36 times the volume of the small one.
• d. The volume of the large rectangular prism is
  216 times the volume of the small one.

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Day 5 Bell Work

• Jamie has two cartons. The dimensions of the
  smaller carton are one-third the size of the
  larger carton. If the volume of the smaller
  carton is 120 cm3, find the volume of the larger
  carton.
• a. 40 cm3 b. 3,240 cm3
  c. 1,080 cm3 d. 360
  cm3  

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Day 1 Data Analysis, Statistics and Probability

• Part 1
• 0706.5.3 Calculate and interpret mean, median,
  mode, upper-quartile, lower-quartile, and
  interquartile range of a data set

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• Vocabulary
• Mean- average of the numbers (divide the sum by
  the amount of numbers added)
• Median- number in the middle list least to
  greatest!
• Mode- number used most often there can be
  more than one or none at all
• Range- difference of the whole data set (largest
  - smallest range)
• Upper-Quartile- median of the upper set of
  numbers
• Lower-Quartile- median of the lower set of
  numbers
• Interquartile range- difference of the quartiles
  (upper-quartile lower-quartile interquartile
  range)

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• 1) The test scores of several students are listed
  below.
• 2, 27, 6, 29, 22, 6, 11, 8, 30, 6, 25, 19
• Which box-and-whisker plot accurately represents
  this data?
• What steps do we need to follow to make the
  plot!
• List the 5 parts
• Lower extreme
• Lower quartile
• Median
• Upper quartile
• Upper Extreme

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• 2) What is the upper quartile of the numbers
  listed below?
• 6, 47, 54, 15, 42, 41, 7, 39, 36, 41, 43
• F 28 G 41 H 43 J 48
• 3) What is the mean of the numbers listed below?
• 18, 2, 29, 33, 67, 89, 5, 13, 56, 44
• F 31 G 35.6 H 38.2 J 42
• 4) What is the inter-quartile range of the
  numbers listed below?
• 21, 10, 96, 74, 32, 8, 47, 59, 83, 65, 16
• F 96 G 88 H 58 J 47
• 5) What is the median of the numbers listed
  below?
• 1, 24, 7, 12, 38, 58, 19, 75
• F 22.5 G 19 H 24 J 21.5
• 6) What is the lower quartile of the numbers
  listed below?
• 3, 88, 17, 11, 39, 62, 43, 22, 76
• F 17 G 14 H 15 J 11

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Part 20706.5.4 Use theoretical probability to
make predictions

• Theoretical Probability It is the likeliness of
  an event happening based on all the possible
  outcomes.
• C A L I F O R N I A
• One card is randomly selected from the bag.
• 1 ) What is the probability that the selected
  card shows the letter A?
• A 1/10 B 2/5 C 3/10 D 1/5

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• TCAP Practice Book Questions
• 11, 16, 24, 42, 45, 50

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Day 2 and 3 Geometry and Measurement

• Part 1
• 0706.4.1 Solve contextual problems involving
  similar triangles.
• Similar triangles same shape but sizes are
  different (each side forms a ratio)
• You can create a proportion to see if two
  triangles are similar. If you know that 2
  triangles are similar then you can, create a
  proportion to solve for a missing side length.

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• 1) The two similar triangles shown are patterns
  used to create a design on a jacket.
• What is the value of x, the height of the smaller
  triangle, in inches?
• A) 5 ½ in B) 2 1/5 in C) 5 in D) 2 in

11 in
X
2 ½ in
5 in
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• 2) The diagram below represents a triangular
  section of a park.
• Triangle WST is similar to Triangle WXY. If the
  length of WS is 234 feet, what is the length
• of XY ?
• A 39 feet B 58.5 feet
• C 117 feet D 175.5 feet

W
Y
X
117 ft
S
T
117 ft
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• Use this same methods when given a shadow.
  indirect measurement

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• 3) A triangle has side lengths of 28 inches, 32
  inches, and 36 inches. Which list shows the side
  lengths of a similar triangle?
• F 6 inches, 8 inches, 9 inches
• G 14 inches, 16 inches, 18 inches
• H 21 inches, 26 inches, 27 inches
• J 54 inches, 64 inches, 72 inches
• 4) A triangle has side lengths of 3 inches, 5
  inches, and 10 inches. Which list shows the side
  lengths of a similar triangle?
• F 9 inches, 12 inches, 30 inches
• G 12 inches, 20 inches, 45 inches
• H 16 inches, 30 inches, 60 inches
• J 24 inches, 40 inches, 80 inches

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• TCAP Practice Book Questions
• 4, 19, 54

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Part 20706.4.3 Apply scale factor to solve
problems involving area and volume.

• Notes about Scale Factor
• Area uses an exponent of 2. You will always
  square the scale factor.
• Volume uses an exponent of 3. You will always
  cube the scale factor.
• There are 3 ways you will be asked these types of
  problems.
• 1 Given the area/volume of 1 figure and the
  scale factor- find the area/volume of the similar
  figure.
• 2 Given the area/volume find the side length
  ratio Remember to undo an area you will
  square root it (v) and to undo a volume you
  will cube root it (exponent 1/3)
• 3 Given the 2 side lengths- find the difference
  in the figures (how many times larger/smaller one
  is)

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• 1
• A rectangular painting has an area of 720 square
  inches. Jasmine reduced the length and
• width of this painting by a scale factor of
  1/6 to create a miniature copy. What is the area
  of
• the miniature copy?
• A 12 square inches B 20 square inches
• C 60 square inches D 120 square inches
• Change 16 to 1/6 (fraction) on your packet

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• 2
• Two squares are similar. The area of the smaller
  square is 256 square inches. The are of the
  larger square is 324 square inches. What is the
  ratio of the side length of the smaller square to
  the side length of the larger square?
• A 256/324 B 64/81
• C 1/4 D 8/9

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• 3
• Keziah built a scale model of the Gateway Arch in
  St. Louis, Missouri. A picture of the arch is
  shown below.
• The base at each end of the actual arch is shaped
  like an equilateral triangle with side lengths of
  54 feet. Keziah built her model using
  equilateral triangles for each base that were
  foot long on each side. Which statement about
  the areas of these triangles is true?
• A) The area of the triangle at the base of the
  actual arch is 27 times the area of the triangle
  Keziah used for the base of her model.
• B) The area of the triangle at the base of the
  actual arch is 108 times the area of the triangle
  Keziah used for the base of her model.
• C) The area of the triangle at the base of the
  actual arch is 729 times the area of the triangle
  Keziah used for the base of her model.
• D) The area of the triangle at the base of the
  actual arch is 11,664 times the area of the
  triangle Keziah used for the base of her model.

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• TCAP Practice Book Questions
• 7, 25, 32

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Day 4 and 5 Mathematical Processes

• Part 1
• 0706.1.1 Use proportional reasoning to solve
  mixture/concentration problems.

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• 1) A recipe for making 8 cups of soup requires 4
  cups of water. At this rate, how many cups of
  water are required to make 16 cups of soup?
• A 8 cups
• B 12 cups
• C 16 cups
• D 32 cups
• 2) To make a certain concentration of a chemical,
  a scientist mixes 81 milliliters of the chemical
  with 180 milliliters of distilled water. To make
  more of this chemical concentration, exactly how
  many milliliters of the chemical should the
  scientist mix with 260 milliliters of distilled
  water?
• A36 milliliters B65 milliliters
• C117 milliliters D161 milliliters

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• Part 2
• 0706.1.2 Generalize a variety of patterns to a
  symbolic rule from tables, graphs, or words.

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• 1) The graph shows five points of a relation.
• Which equation best represents this relation?
• F y x 2 G y 2x 3
• H J

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• 2) The table shows values of x and y.
• Which equation represents the pattern shown by
  the data in the table?
• A) inversely proportional
• B) directly proportional
• C) linear
• D) Exponential

X Y
3 5 7 9
6 10 14 18
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• Part 4
• 0706.1.4 Use scales to read maps.

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• The map below shows three towns on the same
  highway. The scale shown on the map relates
  centimeters (cm) to kilometers (km).
• - The distance between Oaktown and Crestview is 2
  cm on the map.
• - The distance between Crestview and Maple Grove
  is 5 cm on the map.
• According to the scale, what is the actual
  distance between Oaktown and Maple Grove along
  the highway?
• F 98 km G 70 km
• H 49 km J 28 km

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According to the scale drawing, which city is
approximately 400 miles from Washington, D.C.? A
Richmond B Charleston C Columbia D Raleigh
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• TCAP Practice Book Questions
• 2, 10, 14, 21, 26, 29, 36, 44, 48, 51

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